A Semianalytic Method for Vibration Analysis of a Sandwich FGP Doubly Curved Shell with Arbitrary Boundary Conditions

Table 3

Convergence analysis of weighted parameters for Sandwich FGP doubly curved structure.

Λ	Paraboloidal shell				Hyperbolic shell				Elliptical shell
	1	2	3	4	1	2	3	4	1	2	3	4
10^8	3.84	5.97	8.46	14.23	9.03	14.49	22.34	23.16	17.95	38.69	39.41	39.85
10^10	9.01	9.27	15.86	21.59	55.41	60.98	69.31	82.13	45.20	55.59	126.38	154.68
10^12	9.45	9.79	15.90	23.28	42.86	47.59	56.33	75.07	45.56	60.53	128.38	167.61
10^14	9.45	9.80	15.90	23.30	42.79	47.47	56.30	74.93	45.56	60.59	128.40	167.75
10^16	9.45	9.80	15.90	23.30	42.79	47.47	56.30	74.93	45.56	60.59	128.40	167.75
10^18	9.45	9.80	15.90	23.30	42.79	47.47	56.30	74.93	45.56	60.59	128.39	167.75
10^20	9.45	9.83	15.88	23.30	42.71	47.46	56.29	74.93	45.68	60.55	128.48	167.76
10^22	9.83	21.09	27.28	35.32	57.04	64.68	66.65	77.95	46.32	71.05	170.45	174.49
10^24	131.67	134.72	160.47	169.09	140.82	181.57	200.96	210.62	369.36	445.81	481.35	566.60